Mixed finite element methods for two-body contact problems

作者:Schroeder Andreas; Kleemann Heiko; Blum Heribert
来源:Journal of Computational and Applied Mathematics, 2015, 283: 58-70.
DOI:10.1016/j.cam.2014.11.040

摘要

This paper presents mixed finite element methods of higher-order for two-body contact problems of linear elasticity. The discretization is based on a mixed variational formulation proposed by Haslinger et al. which is extended to higher-order finite elements. The main focus is on the convergence of the scheme and on a priori estimates for the h- and the p-method. For this purpose, a discrete inf-sup condition is proven which guarantees the stability of the mixed method. Numerical results confirm the theoretical findings.

  • 出版日期2015-8-1